{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 6a - Introduction to Coatings"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "nbsphinx-toctree"
    ]
   },
   "source": [
    "### July 2024"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This tutorial demonstrates how to apply coatings on surfaces in Optiland and how to assess their impact. Coatings impact the nature of light as it propagates through an optical system. For example, uncoated optics can result in significant light loss in a lens, especially if many surfaces are present.\n",
    "\n",
    "In this tutorial, we will analyze two coating types:\n",
    "\n",
    "- \"Simple\" coatings\n",
    "- \"Fresnel\" coatings\n",
    "\n",
    "The details of each coating type will be explained in its respective section."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from optiland import coatings, optic\n",
    "from optiland.rays import PolarizationState"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. Lens with no coatings"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's first define a simple doublet without coatings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Doublet(optic.Optic):\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        self.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "        self.add_surface(\n",
    "            index=1,\n",
    "            radius=29.32908,\n",
    "            thickness=0.7,\n",
    "            material=\"N-BK7\",\n",
    "            is_stop=True,\n",
    "        )\n",
    "        self.add_surface(index=2, radius=-20.06842, thickness=0.032)\n",
    "        self.add_surface(\n",
    "            index=3,\n",
    "            radius=-20.08770,\n",
    "            thickness=0.5780,\n",
    "            material=(\"SF2\", \"schott\"),\n",
    "        )\n",
    "        self.add_surface(index=4, radius=-66.54774, thickness=47.3562)\n",
    "        self.add_surface(index=5)\n",
    "\n",
    "        self.set_aperture(aperture_type=\"imageFNO\", value=8.0)\n",
    "\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0.0)\n",
    "        self.add_field(y=0.7)\n",
    "        self.add_field(y=1.0)\n",
    "\n",
    "        self.add_wavelength(value=0.4861)\n",
    "        self.add_wavelength(value=0.5876, is_primary=True)\n",
    "        self.add_wavelength(value=0.6563)\n",
    "\n",
    "        self.update_paraxial()\n",
    "        self.image_solve()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens0 = Doublet()\n",
    "lens0.draw(figsize=(14, 2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We assess the intensity transmitted through the system by first tracing rays through the doublet, then analyzing the resulting ray intensity values at the image plane. This tutorial uses a similar approach to that shown in Tutorial 2a."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average intensity per ray: 0.99978\n"
     ]
    }
   ],
   "source": [
    "# trace rays through on-axis field point\n",
    "rays = lens0.trace(Hx=0, Hy=0, wavelength=0.55, num_rays=256, distribution=\"uniform\")\n",
    "\n",
    "# take intensities of rays after ray tracing\n",
    "intensity = rays.i\n",
    "\n",
    "# compute average intensity per ray\n",
    "avg_intensity = np.mean(intensity)\n",
    "\n",
    "print(f\"Average intensity per ray: {avg_intensity:.5f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's also look at the histogram of all ray intensities:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(intensity, bins=np.linspace(0, 1, 10))\n",
    "plt.xlabel(\"Intensity\")\n",
    "plt.ylabel(\"Number of Rays\")\n",
    "plt.title(\"Intensity Distribution on Image Surface\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, all rays have approximately the same intensity, which is 1. This is because no coatings have been applied to this lens, so no intensity is lost on any surface. This isn't particularly interesting."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. Lens with \"Simple\" coating"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's now apply a \"Simple\" coating, which assigns a fixed transmittance and reflectance factor for each surface. Any ray incident on the surface will experience the same transmittance and reflectance. Let's assume the following transmittance values for each surface in our doublet:\n",
    "\n",
    "- Surface 1: 50%\n",
    "- Surface 2: 60%\n",
    "- Surface 3: 80%\n",
    "- Surface 4: 90%\n",
    "\n",
    "We will assume the reflectance is simply 100% minus the transmittance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "class DoubletSimpleCoating(optic.Optic):\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        # define coatings here\n",
    "        coating1 = coatings.SimpleCoating(transmittance=0.5, reflectance=0.5)\n",
    "        coating2 = coatings.SimpleCoating(transmittance=0.6, reflectance=0.4)\n",
    "        coating3 = coatings.SimpleCoating(transmittance=0.8, reflectance=0.2)\n",
    "        coating4 = coatings.SimpleCoating(transmittance=0.9, reflectance=0.1)\n",
    "\n",
    "        self.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "\n",
    "        # add coating 1 to surface 1\n",
    "        self.add_surface(\n",
    "            index=1,\n",
    "            radius=29.32908,\n",
    "            thickness=0.7,\n",
    "            material=\"N-BK7\",\n",
    "            is_stop=True,\n",
    "            coating=coating1,\n",
    "        )\n",
    "\n",
    "        # add coating 2 to surface 2\n",
    "        self.add_surface(index=2, radius=-20.06842, thickness=0.032, coating=coating2)\n",
    "\n",
    "        # add coating 3 to surface 3\n",
    "        self.add_surface(\n",
    "            index=3,\n",
    "            radius=-20.08770,\n",
    "            thickness=0.5780,\n",
    "            material=(\"SF2\", \"schott\"),\n",
    "            coating=coating3,\n",
    "        )\n",
    "\n",
    "        # add coating 4 to surface 4\n",
    "        self.add_surface(index=4, radius=-66.54774, thickness=47.3562, coating=coating4)\n",
    "        self.add_surface(index=5)\n",
    "\n",
    "        self.set_aperture(aperture_type=\"imageFNO\", value=8.0)\n",
    "\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0.0)\n",
    "        self.add_field(y=0.7)\n",
    "        self.add_field(y=1.0)\n",
    "\n",
    "        self.add_wavelength(value=0.4861)\n",
    "        self.add_wavelength(value=0.5876, is_primary=True)\n",
    "        self.add_wavelength(value=0.6563)\n",
    "\n",
    "        self.update_paraxial()\n",
    "        self.image_solve()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's now define our doublet with \"Simple\" coatings and perform the exact same analysis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average intensity per ray: 0.21595\n"
     ]
    }
   ],
   "source": [
    "# define the lens0 with coatings\n",
    "lens1 = DoubletSimpleCoating()\n",
    "\n",
    "# trace rays through on-axis field point\n",
    "rays = lens1.trace(Hx=0, Hy=0, wavelength=0.55, num_rays=256, distribution=\"uniform\")\n",
    "\n",
    "# take intensities of rays after ray tracing\n",
    "intensity_simple = rays.i\n",
    "\n",
    "# compute average intensity per ray\n",
    "avg_intensity_simple = np.mean(intensity_simple)\n",
    "\n",
    "print(f\"Average intensity per ray: {avg_intensity_simple:.5f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(intensity, bins=np.linspace(0, 1, 10), label=\"No Coating\", alpha=0.5)\n",
    "plt.hist(intensity_simple, bins=np.linspace(0, 1, 10), label=\"With Coating\", alpha=0.5)\n",
    "plt.xlabel(\"Intensity\")\n",
    "plt.ylabel(\"Number of Rays\")\n",
    "plt.title(\"Intensity Distribution on Image Surface\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The rays propagated through the lens with the coating now have an intensity value of ≈0.216, which is equal to 0.5 * 0.6 * 0.8 * 0.9, as expected. Compare this again to the nominal value of ≈1.0. Note that glass absorption causes a small transmission loss, which is on the order of 1e-4."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. Lens with Fresnel coating"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's define the same doublet, but this time with \"Fresnel\" coating on each surface. This uses the Fresnel equations to find the transmittance and reflectance coefficients and is equivalent to having uncoating lenses.\n",
    "\n",
    "There are two key differences with respect to the last coating:\n",
    "\n",
    "1. We specify coating='fresnel' for each interface surface\n",
    "2. We must specify the polarization state of the incident light, which we choose as unpolarized light, which means we use a linear combination of two orthogonal polarization states."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "class DoubletFresnelCoating(optic.Optic):\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        self.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "        self.add_surface(\n",
    "            index=1,\n",
    "            radius=29.32908,\n",
    "            thickness=0.7,\n",
    "            material=\"N-BK7\",\n",
    "            is_stop=True,\n",
    "            coating=\"fresnel\",\n",
    "        )  # <-- use fresnel coating\n",
    "        self.add_surface(index=2, radius=-20.06842, thickness=0.032, coating=\"fresnel\")\n",
    "        self.add_surface(\n",
    "            index=3,\n",
    "            radius=-20.08770,\n",
    "            thickness=0.5780,\n",
    "            material=(\"SF2\", \"schott\"),\n",
    "            coating=\"fresnel\",\n",
    "        )\n",
    "        self.add_surface(\n",
    "            index=4,\n",
    "            radius=-66.54774,\n",
    "            thickness=47.3562,\n",
    "            coating=\"fresnel\",\n",
    "        )\n",
    "        self.add_surface(index=5)\n",
    "        self.set_aperture(aperture_type=\"imageFNO\", value=8.0)\n",
    "\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0.0)\n",
    "        self.add_field(y=0.7)\n",
    "        self.add_field(y=1.0)\n",
    "\n",
    "        self.add_wavelength(value=0.4861)\n",
    "        self.add_wavelength(value=0.5876, is_primary=True)\n",
    "        self.add_wavelength(value=0.6563)\n",
    "\n",
    "        self.update_paraxial()\n",
    "        self.image_solve()\n",
    "\n",
    "        # Note the addition of the polarization state here!\n",
    "        state = PolarizationState(is_polarized=False)\n",
    "        self.set_polarization(state)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average intensity per ray: 0.80874\n"
     ]
    }
   ],
   "source": [
    "lens2 = DoubletFresnelCoating()\n",
    "\n",
    "# trace rays through on-axis field point\n",
    "rays = lens2.trace(Hx=0, Hy=0, wavelength=0.55, num_rays=256, distribution=\"uniform\")\n",
    "\n",
    "# take intensities of rays after ray tracing\n",
    "intensity_fresnel = rays.i\n",
    "\n",
    "# compute average intensity per ray\n",
    "avg_intensity_fresnel = np.mean(intensity_fresnel)\n",
    "\n",
    "print(f\"Average intensity per ray: {avg_intensity_fresnel:.5f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As before, let's plot the histogram of the intensity distribution on the image surface."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(intensity_fresnel, bins=32, label=\"With Fresnel Coating\", alpha=0.5)\n",
    "plt.xlabel(\"Intensity\")\n",
    "plt.ylabel(\"Number of Rays\")\n",
    "plt.title(\"Intensity Distribution on Image Surface\")\n",
    "plt.xticks(rotation=45)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clearly, we see a range in transmission through the lens. Let's also look at the transmission as a function of position in the aperture stop."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# stop is on first surface --> index 1\n",
    "x_stop = lens2.surface_group.x[1, :]\n",
    "y_stop = lens2.surface_group.y[1, :]\n",
    "\n",
    "plt.scatter(x_stop, y_stop, c=intensity_fresnel, s=5)\n",
    "plt.axis(\"equal\")\n",
    "cbar = plt.colorbar()\n",
    "cbar.set_label(\"Transmission\", rotation=270, labelpad=20)\n",
    "plt.xlabel(\"X (mm)\")\n",
    "plt.ylabel(\"Y (mm)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we see that the uncoated optic has a transmission of near 80%. Secondly, while the effect is small, we can clearly see that at smaller angles of incidence, i.e., near the center, the transmission is a maximum. This is consistent with the Fresnel equations for unpolarized light."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Conclusions:\n",
    "\n",
    "- This tutorial introduced the concept of coatings in Optiland.\n",
    "- The \"SimpleCoating\" class was demonstrated, which simply assigns a fixed intensity loss during ray interaction with a surface.\n",
    "- The \"FresnelCoating\" was also introduced, which enables calculation of the effect of e.g., transmission impact due to uncoated glass in lens systems."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following tutorials will elaborate on the concepts of coatings and polarization in Optiland."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
